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Finding the Fourth Proportional to 466.36, 697.80 and 301.06

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Solution

The fourth proportional to 466.36, 697.80 and 301.06 is: 450.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.36 : 697.80 = 301.06 : x
  2. Step 2: Convert to fraction form
    466.36/697.80 = 301.06/x
  3. Step 3: Cross multiply
    466.36x = 697.80 × 301.06
  4. Step 4: Simplify right side
    466.36x = 210,079.67
  5. Step 5: Solve for x
    x = 210,079.67/466.36
  6. Step 6: Final answer
    x = 450.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.